Singular twisted links and singular twisted virtual braids

2024/03/26 by Komal Negi, Negi, Komal, Madeti Prabhakar +1 · 1 citation
Engineering · #57K10 #57K12 #57M15 #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Geometric Topology (math.GT) #Mechanical stress and fatigue analysis

paper · pdf · doi:10.48550/arxiv.2403.17383

openalex publication_date 2024/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The concepts of twisted knot theory and singular knot theory inspire the introduction of singular twisted knot theory. This study showcases similar findings for singular twisted links, including the Alexander theorem and the Markov theorem derived from knot theory. Moreover, in this paper we define singular twisted virtual braids and their monoid structure. Additionally, we provide both a monoid and a reduced monoid presentation for singular twisted virtual braids.

Cited by

• Multi-virtual braid groups

Related

• Twisted virtual braids and twisted links
• Algebraic, combinatorial and topological properties of singular virtual\n braid monoids
• Braid presentation of virtual knots and welded knots
• Tied links and invariants for singular links
• The monoid structure of singular twisted virtual braids